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Finding the Fourth Proportional to 76,035.84, 114,046.08 and 26,784

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Solution

The fourth proportional to 76,035.84, 114,046.08 and 26,784 is: 40,173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,035.84 : 114,046.08 = 26,784 : x
  2. Step 2: Convert to fraction form
    76,035.84/114,046.08 = 26,784/x
  3. Step 3: Cross multiply
    76,035.84x = 114,046.08 × 26,784
  4. Step 4: Simplify right side
    76,035.84x = 3,054,610,206.72
  5. Step 5: Solve for x
    x = 3,054,610,206.72/76,035.84
  6. Step 6: Final answer
    x = 40,173.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.